@inproceedings{4a89f62b894949b7b7709f5f7add90cf,
title = "On Semiclassical Ohsawa-Takegoshi Extension Theorem",
abstract = "For a fixed complex submanifold in a complex manifold, we consider the operator which associates to a given holomorphic section of a positive line bundle over the submanifold the holomorphic extension of it to the ambient manifold with the minimal L2-norm. When the tensor power of the line bundle tends to infinity, we obtain an explicit asymptotic formula for this extension operator and derive several consequences of this study.",
keywords = "Complex manifolds, Continuation of analytic objects in several complex variables, Integral representations; canonical kernels, Section rings, Toeplitz operators",
author = "Siarhei Finski",
note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2024.; 23rd Hayama Symposium on Complex Analysis in Several Variables, HSSCV 2022 ; Conference date: 23-07-2022 Through 28-07-2022",
year = "2024",
month = jan,
day = "1",
doi = "10.1007/978-981-99-9506-6\_4",
language = "English",
isbn = "9789819995059",
series = "Springer Proceedings in Mathematics and Statistics",
publisher = "Springer",
pages = "141--168",
editor = "Kengo Hirachi and Takeo Ohsawa and Shigeharu Takayama and Joe Kamimoto",
booktitle = "The Bergman Kernel and Related Topics - Hayama Symposium on SCV XXIII, 2022",
}